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Finding the Third Proportional to 2,416.36 and 5,299.73

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Solution

The third proportional to 2,416.36 and 5,299.73 is: 11,623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.36 : 5,299.73 = 5,299.73 : x
  2. Step 2: Convert to fraction form
    2,416.36/5,299.73 = 5,299.73/x
  3. Step 3: Cross multiply
    2,416.36x = 5,299.73 × 5,299.73
  4. Step 4: Simplify right side
    2,416.36x = 28,087,184.45
  5. Step 5: Solve for x
    x = 28,087,184.45/2,416.36
  6. Step 6: Final answer
    x = 11,623.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.